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68918232240 = 2433511132389109
BaseRepresentation
bin100000000101111011…
…0001100010010110000
320120220000210221111000
41000023312030102300
52112121031412430
651354404522000
74656600210534
oct1001366142260
9216800727430
1068918232240
11272565aaa30
12114346b0300
1366642ab5a0
14349b0a1bc4
151bd567be60
hex100bd8c4b0

68918232240 has 1280 divisors, whose sum is σ = 296980992000. Its totient is φ = 14452162560.

The previous prime is 68918232233. The next prime is 68918232281. The reversal of 68918232240 is 4223281986.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 632277306 + ... + 632277414.

It is an arithmetic number, because the mean of its divisors is an integer number (232016400).

Almost surely, 268918232240 is an apocalyptic number.

68918232240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68918232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496000).

68918232240 is an abundant number, since it is smaller than the sum of its proper divisors (228062759760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68918232240 is a wasteful number, since it uses less digits than its factorization.

68918232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 68918232240 in words is "sixty-eight billion, nine hundred eighteen million, two hundred thirty-two thousand, two hundred forty".